- Tytuł:
- Solutions to Time-Fractional Diffusion-Wave Equation in Spherical Coordinates
- Autorzy:
- Povstenko, Y.
- Powiązania:
- https://bibliotekanauki.pl/articles/386572.pdf
- Data publikacji:
- 2011
- Wydawca:
- Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
- Tematy:
-
transformata Laplace'a
transformata Fouriera
równanie dyfuzji
Laplace transform
Fourier transform
diffusion equation - Opis:
- Solutions to time-fractional diffusion-wave equation with a source term in spherical coordinates are obtained for an infinite medium. The solutions are found using the Laplace transform with respect to time t, the finite Fourier transform with respect to the angular coordinate , the Legendre transform with respect to the spatial coordinate , and the Hankel transform of the order n+1/2 with respect to the radial coordinate . In the central symmetric case with one spatial coordinate the obtained results coincide with those studied earlier.
- Źródło:
-
Acta Mechanica et Automatica; 2011, 5, 2; 108-111
1898-4088
2300-5319 - Pojawia się w:
- Acta Mechanica et Automatica
- Dostawca treści:
- Biblioteka Nauki
Artykuł